{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "134e7f9d",
   "metadata": {},
   "source": [
    "# API 1: Indexing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2075ef56",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cuda\n",
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan import *\n",
    "\n",
    "device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n",
    "print(device)\n",
    "\n",
    "model = KAN(width=[2,3,2,1], noise_scale=0.3, device=device)\n",
    "x = torch.normal(0,1,size=(100,2)).to(device)\n",
    "model(x);\n",
    "beta = 100\n",
    "model.plot(beta=beta)\n",
    "# [2,3,2,1] means 2 input nodes\n",
    "# 3 neurons in the first hidden layer,\n",
    "# 2 neurons in the second hidden layer,\n",
    "# 1 output node"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c47ccd2b",
   "metadata": {},
   "source": [
    "### Indexing of edges (activation functions)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c30add2",
   "metadata": {},
   "source": [
    "Each activation function is indexed by $(l,i,j)$ where $l$ is the layer index, $i$ is the input neuron index, $j$ is the output neuron index. All of them starts from 0. For example, the one in the bottom left corner is (0, 0, 0). Let's try to make it symbolic and see it turns red."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c95dbc78",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9785453677177429\n",
      "saving model version 0.1\n",
      "saving model version 0.2\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(0,0,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(0,0,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bf721202",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.991183876991272\n",
      "saving model version 0.3\n",
      "saving model version 0.4\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(0,0,1,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(0,0,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1e7cd4a8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9494338631629944\n",
      "saving model version 0.5\n",
      "saving model version 0.6\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(0,1,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(0,1,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "18e0baa2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9999909996986389\n",
      "saving model version 0.7\n",
      "saving model version 0.8\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(1,0,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(1,0,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "50eb8f8c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9998168349266052\n",
      "saving model version 0.9\n",
      "saving model version 0.10\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(2,1,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(2,1,0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "960e5447",
   "metadata": {},
   "source": [
    "### Indexing of nodes (neurons)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f4a7880f",
   "metadata": {},
   "source": [
    "Each neuron (node) is indexed by $(l,i)$ where $l$ is the layer index along depth, $i$ is the neuron index along width. In the function remove_node, we use use $(l,i)$ to indicate which node we want to remove."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c9e70d77",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.11\n",
      "saving model version 0.12\n",
      "saving model version 0.13\n"
     ]
    }
   ],
   "source": [
    "model.remove_node(1,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a22c9e31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "44553b6a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.14\n",
      "saving model version 0.15\n",
      "saving model version 0.16\n"
     ]
    }
   ],
   "source": [
    "model.remove_node(2,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "7c9b491a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "7b24fcdb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.17\n",
      "saving model version 0.18\n",
      "saving model version 0.19\n"
     ]
    }
   ],
   "source": [
    "model.remove_node(1,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0a7e9373",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=beta)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ee64af1",
   "metadata": {},
   "source": [
    "### Indexing of layers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4c732dfc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n",
      "2 3\n",
      "2 3\n",
      "3 5\n",
      "3 5\n",
      "5 1\n",
      "5 1\n"
     ]
    }
   ],
   "source": [
    "# KAN spline layers are refererred to as act_fun\n",
    "# KAN symbolic layers are referred to as symbolic_fun\n",
    "\n",
    "model = KAN(width=[2,3,5,1])\n",
    "\n",
    "i = 0\n",
    "model.act_fun[i] # => KAN Layer (Spline)\n",
    "model.symbolic_fun[i] # => KAN Layer (Symbolic)\n",
    "\n",
    "for i in range(3):\n",
    "    print(model.act_fun[i].in_dim, model.act_fun[i].out_dim)\n",
    "    print(model.symbolic_fun[i].in_dim, model.symbolic_fun[i].out_dim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "1f0ccc8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Parameter containing:\n",
       "tensor([[0., 0., 0., 0., 0.]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check model parameters\n",
    "model.act_fun[i].grid\n",
    "model.act_fun[i].coef\n",
    "model.symbolic_fun[i].funs_name\n",
    "model.symbolic_fun[i].mask"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
